Question: Time at the table Does how long young children remain at the lunch table help predict how much they eat? Here are data on a random sample of 20 toddlers observed over several months.10 "Time" is the average number of minutes a child spent at the table when lunch was served. "Calories" is the average number of calories the child consumed during lunch, calculated from careful observation of what the child ate each day. Some computer output from a least-squares regression analysis on these data is shown below.
(a) What is the equation of the least-squares regression line for predicting calories consumed from time at the table? Interpret the slope of the regression line in context. Does it make sense to interpret the y intercept in this case? Why or why not?
(b) Explain what the value of s means in this setting.
(c) Do these data provide convincing evidence at the a = 0.01 level of a linear relationship between time at the table and calories consumed in the population of toddlers? Assume that the conditions for performing inference are met.